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Finding the Fourth Proportional to 114,802.76, 172,221.42 and 40,925

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Solution

The fourth proportional to 114,802.76, 172,221.42 and 40,925 is: 61,393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,802.76 : 172,221.42 = 40,925 : x
  2. Step 2: Convert to fraction form
    114,802.76/172,221.42 = 40,925/x
  3. Step 3: Cross multiply
    114,802.76x = 172,221.42 × 40,925
  4. Step 4: Simplify right side
    114,802.76x = 7,048,161,613.50
  5. Step 5: Solve for x
    x = 7,048,161,613.50/114,802.76
  6. Step 6: Final answer
    x = 61,393.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.